US3866104A - Five phase stepping motor - Google Patents
Five phase stepping motor Download PDFInfo
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- US3866104A US3866104A US379223A US37922373A US3866104A US 3866104 A US3866104 A US 3866104A US 379223 A US379223 A US 379223A US 37922373 A US37922373 A US 37922373A US 3866104 A US3866104 A US 3866104A
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- 238000010586 diagram Methods 0.000 description 8
- 238000010276 construction Methods 0.000 description 4
- 230000005415 magnetization Effects 0.000 description 4
- 238000013016 damping Methods 0.000 description 3
- 230000004907 flux Effects 0.000 description 3
- 230000008878 coupling Effects 0.000 description 2
- 238000010168 coupling process Methods 0.000 description 2
- 238000005859 coupling reaction Methods 0.000 description 2
- 238000010438 heat treatment Methods 0.000 description 2
- 101100264195 Caenorhabditis elegans app-1 gene Proteins 0.000 description 1
- 239000013256 coordination polymer Substances 0.000 description 1
- 238000006073 displacement reaction Methods 0.000 description 1
- 230000000694 effects Effects 0.000 description 1
- 230000005284 excitation Effects 0.000 description 1
- 230000001747 exhibiting effect Effects 0.000 description 1
- 230000006872 improvement Effects 0.000 description 1
- 238000009413 insulation Methods 0.000 description 1
- 239000000696 magnetic material Substances 0.000 description 1
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- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02P—CONTROL OR REGULATION OF ELECTRIC MOTORS, ELECTRIC GENERATORS OR DYNAMO-ELECTRIC CONVERTERS; CONTROLLING TRANSFORMERS, REACTORS OR CHOKE COILS
- H02P8/00—Arrangements for controlling dynamo-electric motors rotating step by step
- H02P8/22—Control of step size; Intermediate stepping, e.g. microstepping
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02K—DYNAMO-ELECTRIC MACHINES
- H02K37/00—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors
- H02K37/02—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of variable reluctance type
- H02K37/04—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of variable reluctance type with rotors situated within the stators
-
- H—ELECTRICITY
- H02—GENERATION; CONVERSION OR DISTRIBUTION OF ELECTRIC POWER
- H02K—DYNAMO-ELECTRIC MACHINES
- H02K37/00—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors
- H02K37/10—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type
- H02K37/12—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type with stationary armatures and rotating magnets
- H02K37/14—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type with stationary armatures and rotating magnets with magnets rotating within the armatures
- H02K37/18—Motors with rotor rotating step by step and without interrupter or commutator driven by the rotor, e.g. stepping motors of permanent magnet type with stationary armatures and rotating magnets with magnets rotating within the armatures of homopolar type
Definitions
- the control means then shifts the short-circuited condition to other windings in cyclical sequence while energizing the remaining four windings at any time.
- the ratio of the rotor tooth widths to stator 2 widths at the outer diameter of the rotor is equal or smaller 20 Claims, 31 Drawing Figures PAIEMEB EBI H SW20; 8 3.866.104
- This invention relates to stepping motors and particularly to five phase stepping motors operating on the homopolar principle.
- Motors utilizing this principle in their operation can be constructed in a relatively simple manner and achieve very small stepping angles.
- customarily, such motors utilize a two phase construction with 2 X 4 windings.
- homopolar motors exhibit substantially smaller efficiencies than heteropolar motors. They are also subject to several unavoidable resonance areas, at which the motors can readily fall out of step in the absence of auxiliary external damping arrangements.
- An object of this invention is to improve stepping motors.
- Another object of this invention is to improve the efficiency or output of such five phase stepping motors.
- Another object of this invention is to obtain large stepping frequencies at small stepping angles.
- Yet another object of this invention is to assure satisfactory and stable stepping behavior at very large start and stop frequencies.
- these objects are obtained, in whole or in part, in a multiphase stepping motor ofthe homopolar type, with av permanent magnet rotor, five stator windings distributed on small u groups each having five main poles, each of the main poles having small n- I pole teeth, a five phase control circuit controlling all the groups and simultaneously energizing four phases and short-circuitin g the fifth and then shifting the short-circuited condition to the other phases in cyclical sequence while energizing the remaining four phases at any time, the pole division having the relationship wherein 1-, is the pitch between poles, 1-,, is the pitch between adjacent poles of adjacent groups, 1', is the pitch between teeth, a is the pitch between adjacent teeth of adjacent poles and B is the pitch between adjacent teeth on adjacent groups, the ratio of the rotor tooth width to the stator tooth width at the outer diam eter of the rotor being equal to or smaller than unity, and the number of
- FIG. 1 is a somewhat schematic sectional view of a stepping motor embodying features of the invention
- FIG. 2 is a schematic diagram illustrating the windings of a stator in FIG. 1, wherein u 2;
- FIG. 3 is a schematic circuit diagram illustrating the principle of a circuit Fl wherein windings corresponding to the windings of FIG. I are energized, and which corresponds to the winding system used in FIG. 2;
- FIG. 4 is a schematic diagram illustrating the principle of another circuit F2, wherein windings comparable to those shown of FIG. 1 are suitably energized;
- FIG. 5 is a somewhat schematic sectional illustration of another motor embodying features of the invention.
- FIG. 6 is a schematic section illustrating still another motor embodying features of the invention.
- FIG. 7 is a table indicating the number of rotor teeth T, for different values of n, K, and K when u 2 and m 5;
- FIG. 8 is a schematic representation of a five phase stepping motor system described in the copending application Ser. No. 294,787;
- FIG. 9 is a schematic representation of a stepping motor system also described in the copending application Ser. No. 294,787;
- FIGS. 10a through 102 are voltage-step diagrams illustrating the switch-actuating sequence, and hence the voltages at the corresponding nodes, at the varying switches in FIGS. 8 and 9 described in the copending application Ser. No. 294,787;
- FIGS. 11a through lle illustrate the magnetic polarizations of the windings in the system of FIG. 8 when the switches are shifted step-by-step as shown in FIG. 10 as described in the copending application Ser. No. 294,787;
- FIGS. llf through 11 j illustrate the magnetic polarities of the five-stator windings in FIG. 9 when the switches are operated as shown in FIG. 10 to produce the corresponding node voltages as described in the copending application Ser. No. 294,787;
- FIGS. 12a to 12f are graphic diagrams illustrating the relationships of the magnetizations of the stators and rotors in FIG. 9a when energized according to the diagram of FIGS. 10a through We as described in the copending application Ser. No. 294,787;
- FIG. 13 is a logic diagram for forming the switches of FIGS. 8 and 9 in the copending application.
- the motor has five stator windings which may, for example, be applied on 10 5 X u radially arranged stator main poles l with one or several pole teeth 2.
- the stator body is composed of punched and superimposed sheets or plates. According to an embodiment, it is composed of one or several layer packets. According to an embodiment of the invention, the main poles 1 have n 1 individual poles 2 wherein n is a whole number equal to or greater than zero.
- two main pole windings are connected for each phase in the same winding sense or direction. According to one embodiment of the invention, this is accomplished by a series connection. According to another embodiment of the invention, this is accomplished as shown in FIG. 2 by a parallel connection.
- the thus formed five phase windings are connected to each other to form a closed pentagon as shown in FIG. 2.
- the resulting junction points are connected with the five mechanical or electronic reversing switches through 9 and with the current supply E as shown in FIG. 3.
- the rotor is composed of a central magnet which is magnetized in the axial-direction.
- Tangentially toothed pole caps or pole shoes 3 of soft magnetic material carry the magnetic flux lines of the central magnet.
- the teeth 4 of the two pole caps or pole shoes are tangentially offset relative to each other by one half-pole division.
- stator poles of FIG. 1 must be related as follows:
- the stepping angle is thus d), 360/2mT,
- u is the number of pole groups distributed on the stator circumference
- m is the phase number
- n, K, and K are whole numbers which are chosen on a practical basis. They influence the size of the stepping angles and the winding technique. For large motor units, it is advantageous to chose small stepping angles considering the rotor moment of inertia.
- the values K and K should not be too small. However, on the basis of efficiency laws, these values should not be made too large.
- FIG. 7 is a table indicating the number of rotor teeth T for different values of n, K, and K when u 2 and m 52 .
- the main pole distances and group distances are not equal. Only in the special case where K K and a [i are these distances equal. Under those circumstances distribution of the main pole distances over the entire circumference will be equal as shown in FIGS. 5 and 6.
- stator windings 30, for example those designated 10 to 14 and 15 to 19, should be switched in such a manner that the pole sequence alternates at the stator main poles as shown in FIG. 2. This means that one north pole will always follow a south pole. According to the invention, this is achieved without significant expenditure for electronic equipment with the five phase circuit of the aforementioned copending application Ser. No. 294,787, in which one phase winding always remains unexcited. As a result, contrary to known homopolar motors, no magnetic coupling of two adjacent poles occurs for any switching conditions.
- rotor teeth are trapezoidally-shaped.
- the ratio of tooth width to tooth gap is 1:2 at the outer diameter rotor and approximatedly 2:l at the diameter of the rotor base of the tooth. Tests have demonstrated that this maximizes the motor power.
- Motors embodying the construction, switching and control of the features of the invention are superior to presently known types of stepping motors having permanent magnet rotors and otherwise exhibiting this same structural size.'Disregarding the slightly greater electronic equipment necessary for control, this superiority applies to the output and efficiency, the holding momentum, the step stability, the available steps per second, the start and stop behavior at large stepping frequencies, and the lower limit of the stepping angle.
- motors embodying the invention exhibit a substantial technical improvement in the field of stepping motors.
- additional bisection or halving of the stepping angle is obtainable without changing the motor construction by using the control circuit F2 having ten reversing switches 20 to 29 as shown in FIG. 4. This, of course, involves additional expenditures for electronic control equipment.
- FIGS. 8, 9, 10a to l0e, 11a to llj, and 12a to and 13 correspond to figures in the aforementioned application Ser. No. 294,787. The following refers to these figures for the purpose of describing the operation in this copending application. 1
- five stator windings l, 2, 3, 4, and 5 are connected in a series looped to form a pentagon similar to the manner in which three windings of a threephase motor are connected to formm a delta connection.
- the pentagon connection produces five nodes 6, 7, 8, 9, and 10 at the five interconnecting points.
- Five transfer switches S6, S7, S8, S9, and S10 have respective armatures connected to the nodes 6, 7, 8, 9, and 10 and serve to connect each of the nodes selectively either to thepositive or negative terminal of a power source P.
- the characters A and E denote the winding directions of the windings 1, 2, 3, 4, and 5.
- the winding 1 is short-circuited and the windings 2, 3, 4, and 5 simultaneously produce magnetizations of the same magnetic polarity, such as north.
- FIG. 9 corresponds to FIG. 8.
- the switches S6, S7, S8, S9, and S10 are also shown in the position corresponding to the first step of the stepping motor. These positions are identical to the positions in FIG. 9a.
- the windings 1, 2, 3, 4, and 5 are arranged in the winding order I, 4, 2, 5, and 3.
- the characters A and E identify the winding directions, as stated.
- switches S6, S7, S8, S9, and S form part of a control circuit which switches the switches back and forth between positive and negative poles through a predetermined cycle.
- Each stator and rotor is divided into individual poles with the stators having an interpolar distance T, between individual adjacent poles.
- the rotary displacement between the adjacent stators or rotors within the pole distance T can be (I), l/5T,,, or 2/5 T,,.
- FIG. 8 illustrates the wiring for producing an angle of rotation 41
- FIG. 9 illustrates the winding required for producing the angle of rotation b
- FIGS. 10a through 10e illustrate the switch positions of the switches S6, S7, S8, S9, and S10 during a series of steps. It also implicitly represents the voltages appearing at the nodes 6 through 10.
- FIGS. 1 1a through 1 1e illustrates the polarity of magnetization of one pole in each of the stators ener gized by the windings 1 through 5 during the first eleven steps in the system of FIG. 8.
- FIGS. 11f through 11j illustrates the polarity of magnetization of one pole in each of the stators energized by the windings 1 to 5 during the first eleven steps in the system of FIG. 9.
- FIG. 12a illustrates the position of the stator poles P11, P12,...Pln; P21, P22,...P2n; P31, P32,...P3n; P41, P42, ...P4n; and P51, PS2,...P5n of the respective stators l, 2, 3, 4, and 5 relative to each other and relative to the rotor poles R1, R2,...during the first step in the system of FIG. 90 when energized as shown in FIG. 10 and operating as shown in FIG. 11a.
- the stators which are fixed relative to each other, rotate relative to the rotor whichis fixed.
- the stators have been designated with the same reference numerals as the windings which they carry.
- FIGS. 12b and 12c illustrate the same relationships between the stator poles and rotor poles as FIG. 12a, but for the second and third steps.
- FIGS. 12d through 12f illustrate the same relationships for the system in FIG. 9 when energized as in FIG. 10 and operating as Shown in FIG. 11b.
- four windings carry current during each step. That is to say, four stators are energized simultaneously.
- the fifth winding is short-circuited either to the negative or positive terminal of the voltage source.
- Energizing only four out of five windings may appear to produce some disadvantages. However, it ultimately results in higher efficiency. If it is assumed that the static torque characteristics of the individual stators follow a sinusoidal course, excitation of all five stators, produces a characteristic holding moment which is 3.2 times the value of the maximum moment of a single stator. However, when four stators are simultaneously excited, the characteristic holding moment is 3.1 times the value of the maximum moment of a single stator. Thus, energizing four windings instead of five produces a reduction in the holding moment which degrades the dynamic performance by only about 5 percent. The stepping angle and the waviness of the operating torque exhibit substantially the same value when four stators are energized as when five stators are energized.
- the fifth, non-excited winding is always shortcircuited.
- the electromotive force which the permanent magnet rotor induces into the short-circuited winding during a stepping operation produces a damping effect on the motor system. Therefore, at higher stepping frequencies the operating torque is again somewhat reduced.
- the degree of damping which is relatively low in all electric stepping motors increases. This reduces undesirable pendular vibrations of the rotor.
- FIG. 13 is a logic diagram for forming the switches in FIGS. 8 and 9.
- pitch is used herein as the angle between centers or other like portions of adjacent parts.
- a five phase stepping motor system comprising a stepping motor having five untapped stator windings connected said stator windings forming a plurality of connecting points, a permanent magnet rotor, control means connected to said five connecting points for energizing said windings, said stepping motor including 14 groups each having five main poles, each of said main poles having 11 l pole teeth, said stator windings being distributed on said groups and poles, said.
- poles being divided in accordance with the relations the ratio of rotor tooth widths to stator tooth widths at the outer diameter of the rotor being equal to or smaller than unity, the number of rotor teeth T, corresponding to the relationship T u(5n +4K K 3), where 1,, is the pitch of adjacent main poles, 1, is the pitch of adjacent pole teeth, a is the angle between adjacent pole teeth on adjacent poles, 1', is the pitch between adjacent poles on adjacent groups, B is the angle between adjacent pole teeth on adjacent groups and n, K, and K are whole numbers equal to or greater than 0.
- control means short-circuits one of said windings while energizing the others of said windings simultaneously and shifts the short-circuited winding in succession from winding to winding while simultaneously energizing the remaining ones of said windings.
- control means include means for connecting said winding in a pentagonal loop.
- control means include means for connecting said winding in a pentagonal loop.
- control means connects the stator winding so that the main poles always exhibit alternating polarity.
- control means energizes each of said windings so that two of successive ones of said windings have current flowing in the same direction while the remainder of the successive windings have currents flowing in opposite directions.
- a motor as in claim 1 wherein said pole teeth have trapezoidal shapes, the ratio of tooth width to tooth gap at the outer diameter of the rotor being 1:2 and at the tooth root about 2:1.
- each main pole has n l pole teeth, the ratio of stator to rotor tooth width being 2:].
- each main pole has n l pole teeth, the ratio of stator to rotor tooth width being 2:1.
- a motor as in claim 1, wherein said control means can switch the individual windings in series connection and parallel connection.
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Abstract
In the homopolar five phase stepping motor disclosed, five stator windings are distributed on u groups each having five main poles and coacting with a permanent magnet rotor. Each pole has n+1 pole teeth. The five stator windings are connected in series to form a loop having five connecting points. A control switches five transfer switches having an armature connected to a connecting point, between a positive and negative potential so as simultaneously to energize four windings and short-circuit the fifth. The control means then shifts the short-circuited condition to other windings in cyclical sequence while energizing the remaining four windings at any time. The pole divisions exhibit the relationships
Description
United States Patent 91 Heine Feb. 11, 1975 FIVE PHASE STEPPING MOTOR [75] Inventor: Gunter Heine, Lahr, Germany [73] Assignee: Gerhard Berger Fahrik Elektrischer Messgerate, Lahr, Germany 22 Filed: July 16,1973
21 App1.No.:379,223
[30] Foreign Application Priority Data Primary Examiner-G. R. Simmons Attorney, Agent, or Firm-Toren, McGeady and Stanger [57] ABSTRACT In the homopolar five phase stepping motor disclosed, five stator windings are distributed on 14 groups each having five main poles and coacting with a permanent magnet rotor. Each pole has n+1 pole teeth. The five stator windings are connected in series to form a loop having five connecting points. A control switches five transfer switches having an armature connected to a connecting point, between a positive and negative potential so as simultaneously to energize four windings and short-circuit the fifth. The control means then shifts the short-circuited condition to other windings in cyclical sequence while energizing the remaining four windings at any time. The pole divisions exhibit the relationships r,,=n 'r,+ozia= (K+0.6) 1,, =n 1', Bi [3 =1 (K' 0.6) The ratio of the rotor tooth widths to stator 2 widths at the outer diameter of the rotor is equal or smaller 20 Claims, 31 Drawing Figures PAIEMEB EBI H SW20; 8 3.866.104
CIRCUIT F1 STATOR WINDINGSWITH- u=2 IN CIRCUIT F1 CIRCUIT F2 PATENTED H81 H915 sum 3 or a FIG.6
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. SHEET 8 0F 8 UP/DOWN SWITCHED TAIL RING COUNTER Forward S Low S High Backward S High S= Low 2 CP Reset EH D J Q ""Cv X KR 1k (FFZ E M J Q FF47 I U Q CL X4 FIG. l3
FIVE PHASE STEPPING MOTOR REFERENCE TO RELATED COPENDING APPLICATION This application is related to the copending application of Giinter Heine, Carsten Driige, and Bruno Borgononovi, Ser. No. 294,787, filed Oct. 4, I972, entitled FIVE PHASE MOTOR STEPPING SYSTEMS, and assigned to the same assignee as the present application. The subject matter of that application is hereby made a part of the present application as if fully recited herein.
BACKGROUND OF THE INVENTION This invention relates to stepping motors and particularly to five phase stepping motors operating on the homopolar principle.
Motors utilizing this principle in their operation can be constructed in a relatively simple manner and achieve very small stepping angles. Customarily, such motors utilize a two phase construction with 2 X 4 windings. However, presently known homopolar motors exhibit substantially smaller efficiencies than heteropolar motors. They are also subject to several unavoidable resonance areas, at which the motors can readily fall out of step in the absence of auxiliary external damping arrangements.
An object of this invention is to improve stepping motors.
Another object of this invention is to improve the efficiency or output of such five phase stepping motors.
Another object of this invention is to obtain large stepping frequencies at small stepping angles.
Yet another object of this invention is to assure satisfactory and stable stepping behavior at very large start and stop frequencies.
SUMMARY OF THE INVENTION According to a feature of the invention, these objects are obtained, in whole or in part, in a multiphase stepping motor ofthe homopolar type, with av permanent magnet rotor, five stator windings distributed on small u groups each having five main poles, each of the main poles having small n- I pole teeth, a five phase control circuit controlling all the groups and simultaneously energizing four phases and short-circuitin g the fifth and then shifting the short-circuited condition to the other phases in cyclical sequence while energizing the remaining four phases at any time, the pole division having the relationship wherein 1-,, is the pitch between poles, 1-,, is the pitch between adjacent poles of adjacent groups, 1', is the pitch between teeth, a is the pitch between adjacent teeth of adjacent poles and B is the pitch between adjacent teeth on adjacent groups, the ratio of the rotor tooth width to the stator tooth width at the outer diam eter of the rotor being equal to or smaller than unity, and the number of rotor teethT, u(5n 4K K' 3), where n, K, and K are whole numbers greater than or equal to zero.
These and other features of the invention are pointed out in the claims. Other objects and advantages of the invention will become evident from the following detailed description when read in light of the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS FIG. 1 is a somewhat schematic sectional view of a stepping motor embodying features of the invention;
FIG. 1' is a somewhat schematic representation of details of a stator of the motor in FIG. 1 wherein n 3, K=l, K 3, and u= 2;
FIG. 2 is a schematic diagram illustrating the windings of a stator in FIG. 1, wherein u 2;
FIG. 3 is a schematic circuit diagram illustrating the principle of a circuit Fl wherein windings corresponding to the windings of FIG. I are energized, and which corresponds to the winding system used in FIG. 2;
FIG. 4 is a schematic diagram illustrating the principle of another circuit F2, wherein windings comparable to those shown of FIG. 1 are suitably energized;
FIG. 5 is a somewhat schematic sectional illustration of another motor embodying features of the invention;
FIG. 6 is a schematic section illustrating still another motor embodying features of the invention;
' FIG. 7 is a table indicating the number of rotor teeth T, for different values of n, K, and K when u 2 and m 5;
FIG. 8 is a schematic representation of a five phase stepping motor system described in the copending application Ser. No. 294,787;
FIG. 9 is a schematic representation of a stepping motor system also described in the copending application Ser. No. 294,787;
FIGS. 10a through 102 are voltage-step diagrams illustrating the switch-actuating sequence, and hence the voltages at the corresponding nodes, at the varying switches in FIGS. 8 and 9 described in the copending application Ser. No. 294,787;
FIGS. 11a through lle illustrate the magnetic polarizations of the windings in the system of FIG. 8 when the switches are shifted step-by-step as shown in FIG. 10 as described in the copending application Ser. No. 294,787;
- FIGS. llf through 11 j illustrate the magnetic polarities of the five-stator windings in FIG. 9 when the switches are operated as shown in FIG. 10 to produce the corresponding node voltages as described in the copending application Ser. No. 294,787;
FIGS. 12a to 12f are graphic diagrams illustrating the relationships of the magnetizations of the stators and rotors in FIG. 9a when energized according to the diagram of FIGS. 10a through We as described in the copending application Ser. No. 294,787;
FIG. 13 is a logic diagram for forming the switches of FIGS. 8 and 9 in the copending application.
DESCRIPTION OF PREFERRED EMBODIMENTS In FIG. 1, the motor has five stator windings which may, for example, be applied on 10 5 X u radially arranged stator main poles l with one or several pole teeth 2.
The stator body is composed of punched and superimposed sheets or plates. According to an embodiment, it is composed of one or several layer packets. According to an embodiment of the invention, the main poles 1 have n 1 individual poles 2 wherein n is a whole number equal to or greater than zero.
In the embodiment of FIG. 1, two main pole windings are connected for each phase in the same winding sense or direction. According to one embodiment of the invention, this is accomplished by a series connection. According to another embodiment of the invention, this is accomplished as shown in FIG. 2 by a parallel connection.
The thus formed five phase windings are connected to each other to form a closed pentagon as shown in FIG. 2. The resulting junction points are connected with the five mechanical or electronic reversing switches through 9 and with the current supply E as shown in FIG. 3.
In the usual manner, the rotor is composed of a central magnet which is magnetized in the axial-direction. Tangentially toothed pole caps or pole shoes 3 of soft magnetic material carry the magnetic flux lines of the central magnet. As shown in FIG. 1', the teeth 4 of the two pole caps or pole shoes are tangentially offset relative to each other by one half-pole division.
According to an aspect of the invention, the following are of critical importance in the construction of the motor. The stator poles of FIG. 1 must be related as follows:
The number T, of rotor teeth thus abide by the general relation T,= u(5n 4K +K 3).
The stepping angle is thus d), 360/2mT,
In the above, u is the number of pole groups distributed on the stator circumference, m is the phase number, n, K, and K are whole numbers which are chosen on a practical basis. They influence the size of the stepping angles and the winding technique. For large motor units, it is advantageous to chose small stepping angles considering the rotor moment of inertia. On the basis of the assembly of the winding, the values K and K should not be too small. However, on the basis of efficiency laws, these values should not be made too large.
FIG. 7 is a table indicating the number of rotor teeth T for different values of n, K, and K when u 2 and m 52 Generally, in a motor embodying features of the invention, the main pole distances and group distances are not equal. Only in the special case where K K and a [i are these distances equal. Under those circumstances distribution of the main pole distances over the entire circumference will be equal as shown in FIGS. 5 and 6.
Included among the critical aspects of the invention, the stator windings 30, for example those designated 10 to 14 and 15 to 19, should be switched in such a manner that the pole sequence alternates at the stator main poles as shown in FIG. 2. This means that one north pole will always follow a south pole. According to the invention, this is achieved without significant expenditure for electronic equipment with the five phase circuit of the aforementioned copending application Ser. No. 294,787, in which one phase winding always remains unexcited. As a result, contrary to known homopolar motors, no magnetic coupling of two adjacent poles occurs for any switching conditions.
The consequence of this is the avoidance of coupling oscillations which are induced or excited by the control pulses, thereby permitting, an increase of the stable start-stop frequency of at least a multiple of four to five relative to known motors of the same size. Moreover, regardless of the respective switch positions, the magnetic flux through the useful air gap remains concentrated or bundled uniformly at all times. Scattering or straight flux is thus largely prevented or minimized. The efficiency or output of the motor is improved by about 50 percent.
Another'important aspect of the invention resides in the fact that the rotor teeth are trapezoidally-shaped. The ratio of tooth width to tooth gap is 1:2 at the outer diameter rotor and approximatedly 2:l at the diameter of the rotor base of the tooth. Tests have demonstrated that this maximizes the motor power.
Motors embodying the construction, switching and control of the features of the invention, are superior to presently known types of stepping motors having permanent magnet rotors and otherwise exhibiting this same structural size.'Disregarding the slightly greater electronic equipment necessary for control, this superiority applies to the output and efficiency, the holding momentum, the step stability, the available steps per second, the start and stop behavior at large stepping frequencies, and the lower limit of the stepping angle. Thus, motors embodying the invention exhibit a substantial technical improvement in the field of stepping motors.
According to an embodiment of the invention, additional bisection or halving of the stepping angle is obtainable without changing the motor construction by using the control circuit F2 having ten reversing switches 20 to 29 as shown in FIG. 4. This, of course, involves additional expenditures for electronic control equipment.
FIGS. 8, 9, 10a to l0e, 11a to llj, and 12a to and 13 correspond to figures in the aforementioned application Ser. No. 294,787. The following refers to these figures for the purpose of describing the operation in this copending application. 1
In the embodiment of the invention illustrated in FIG. 8, five stator windings l, 2, 3, 4, and 5 are connected in a series looped to form a pentagon similar to the manner in which three windings of a threephase motor are connected to formm a delta connection. The pentagon connection produces five nodes 6, 7, 8, 9, and 10 at the five interconnecting points. Five transfer switches S6, S7, S8, S9, and S10 have respective armatures connected to the nodes 6, 7, 8, 9, and 10 and serve to connect each of the nodes selectively either to thepositive or negative terminal of a power source P. During the first step of the stepping motor operation, the switches assume the positions shown. The characters A and E denote the winding directions of the windings 1, 2, 3, 4, and 5. Thus, in the positions shown during the first step, the winding 1 is short-circuited and the windings 2, 3, 4, and 5 simultaneously produce magnetizations of the same magnetic polarity, such as north.
FIG. 9 corresponds to FIG. 8. Here, the switches S6, S7, S8, S9, and S10 are also shown in the position corresponding to the first step of the stepping motor. These positions are identical to the positions in FIG. 9a. However, in the embodiment of FIG. 3b the windings 1, 2, 3, 4, and 5 are arranged in the winding order I, 4, 2, 5, and 3. The characters A and E identify the winding directions, as stated.
The, switches S6, S7, S8, S9, and S form part of a control circuit which switches the switches back and forth between positive and negative poles through a predetermined cycle. Each stator and rotor is divided into individual poles with the stators having an interpolar distance T, between individual adjacent poles. In order to obtain predetermined uniform rotary stepping angles, the rotary displacement between the adjacent stators or rotors within the pole distance T can be (I), l/5T,,, or 2/5 T,,.
FIG. 8 illustrates the wiring for producing an angle of rotation 41, and FIG. 9 illustrates the winding required for producing the angle of rotation b FIGS. 10a through 10e illustrate the switch positions of the switches S6, S7, S8, S9, and S10 during a series of steps. It also implicitly represents the voltages appearing at the nodes 6 through 10.
Each of FIGS. 1 1a through 1 1e illustrates the polarity of magnetization of one pole in each of the stators ener gized by the windings 1 through 5 during the first eleven steps in the system of FIG. 8. Each of FIGS. 11f through 11j illustrates the polarity of magnetization of one pole in each of the stators energized by the windings 1 to 5 during the first eleven steps in the system of FIG. 9.
FIG. 12a illustrates the position of the stator poles P11, P12,...Pln; P21, P22,...P2n; P31, P32,...P3n; P41, P42, ...P4n; and P51, PS2,...P5n of the respective stators l, 2, 3, 4, and 5 relative to each other and relative to the rotor poles R1, R2,...during the first step in the system of FIG. 90 when energized as shown in FIG. 10 and operating as shown in FIG. 11a. It is assumed here that the stators, which are fixed relative to each other, rotate relative to the rotor whichis fixed. For simplicity, the stators have been designated with the same reference numerals as the windings which they carry.
FIGS. 12b and 12c illustrate the same relationships between the stator poles and rotor poles as FIG. 12a, but for the second and third steps. FIGS. 12d through 12f illustrate the same relationships for the system in FIG. 9 when energized as in FIG. 10 and operating as Shown in FIG. 11b.
As can be seen from FIGS. 8, 9, 11a, and 11b, four windings carry current during each step. That is to say, four stators are energized simultaneously. The fifth winding is short-circuited either to the negative or positive terminal of the voltage source.
Energizing only four out of five windings may appear to produce some disadvantages. However, it ultimately results in higher efficiency. If it is assumed that the static torque characteristics of the individual stators follow a sinusoidal course, excitation of all five stators, produces a characteristic holding moment which is 3.2 times the value of the maximum moment of a single stator. However, when four stators are simultaneously excited, the characteristic holding moment is 3.1 times the value of the maximum moment of a single stator. Thus, energizing four windings instead of five produces a reduction in the holding moment which degrades the dynamic performance by only about 5 percent. The stepping angle and the waviness of the operating torque exhibit substantially the same value when four stators are energized as when five stators are energized.
However, energizing only four of five stator winding at any one time reduces the required input power approximately 20 percent. As a result, the total efficiency increases 15 percent with about 20 percent less heating of the motor. Making power comparisons, the motor heating within an insulation class represents a reference point. Thus, the power and hence the maximum moment of a single stator can be raised about 20 percent when only four stators are excited. As a result, circuits embodying the present system exhibit an approximately l5 percent higher holding moment than circuits energizing all five windings simultaneously.
The fifth, non-excited winding is always shortcircuited. Thus, the electromotive force which the permanent magnet rotor induces into the short-circuited winding during a stepping operation produces a damping effect on the motor system. Therefore, at higher stepping frequencies the operating torque is again somewhat reduced. However, the degree of damping which is relatively low in all electric stepping motors increases. This reduces undesirable pendular vibrations of the rotor.
FIG. 13 is a logic diagram for forming the switches in FIGS. 8 and 9.
The term pitch is used herein as the angle between centers or other like portions of adjacent parts.
The characters 13,, r,,, r,, a and B are defined by their showing on the drawings.
While specific embodiments of the invention have been shown and described in detail to illustrate the application of the inventive principles, it will be understood that the invention may be embodied otherwise without departing from such principles.
What is claimed is:
l. A five phase stepping motor system, comprising a stepping motor having five untapped stator windings connected said stator windings forming a plurality of connecting points, a permanent magnet rotor, control means connected to said five connecting points for energizing said windings, said stepping motor including 14 groups each having five main poles, each of said main poles having 11 l pole teeth, said stator windings being distributed on said groups and poles, said. poles being divided in accordance with the relations the ratio of rotor tooth widths to stator tooth widths at the outer diameter of the rotor being equal to or smaller than unity, the number of rotor teeth T, corresponding to the relationship T u(5n +4K K 3), where 1,, is the pitch of adjacent main poles, 1, is the pitch of adjacent pole teeth, a is the angle between adjacent pole teeth on adjacent poles, 1', is the pitch between adjacent poles on adjacent groups, B is the angle between adjacent pole teeth on adjacent groups and n, K, and K are whole numbers equal to or greater than 0.
2. A motor as in claim 1, wherein said control means short-circuits one of said windings while energizing the others of said windings simultaneously and shifts the short-circuited winding in succession from winding to winding while simultaneously energizing the remaining ones of said windings.
3. A motor as in claim 1, wherein said control means include means for connecting said winding in a pentagonal loop.
4. A motor as in claim 2, wherein said control means include means for connecting said winding in a pentagonal loop.
5. A motor as in claim 1, wherein said control means connects the stator winding so that the main poles always exhibit alternating polarity.
6. A motor as in claim 2, wherein said control means connects the stator winding so that the main poles always exhibit alternating polarity.
7. A motor as in claim 3, wherein said control means connects the stator winding so that the main poles always exhibit alternating polarity.
8. A motor as in claim 1, wherein said control means energizes each of said windings so that two of successive ones of said windings have current flowing in the same direction while the remainder of the successive windings have currents flowing in opposite directions.
9. A motor as in claim 1, wherein said control means connects the windings so that, independent of the switching position, two adjacent main poles always have the same polarity while the others, have alternating polarities.
10. A motor as in claim 1, wherein said pole teeth have trapezoidal shapes, the ratio of tooth width to tooth gap at the outer diameter of the rotor being 1:2 and at the tooth root about 2:1.
11. A motor as in claim 3, wherein said pole teeth have trapezoidal shapes, the ratio of tooth width to tooth gap at the outer diameter of the rotor being l:2 and at the tooth root about 2:1. I
12. A motor as in claim 1, wherein each main pole has n l pole teeth, the ratio of stator to rotor tooth width being 2:].
13. A motor as in claim 3, wherein each main pole has n l pole teeth, the ratio of stator to rotor tooth width being 2:1.
14. A motor as in claim 1, wherein said control means can switch the individual windings in series connection and parallel connection.
15. A motor as in claim 1, wherein r, r,
16. A motor as in claim 3, wherein 1,, 13;
17. A motor as in claim 4, wherein -r,, 1,,
18. A motor as in claim 1, wherein a B and at least one of said main poles has tooth gaps.
19. A motor as in claim 3, wherein a B and at least one of said main poles has tooth gaps.
20. A motor as in claim 14, wherein a B and at least one of said main poles has tooth gaps.
Claims (20)
1. A five phase stepping motor system, comprising a stepping motor having five untapped stator windings connected said stator windings forming a plurality of connecting points, a permanent magnet rotor, control means connected to said five connecting points for energizing said windings, said stepping motor including u groups each having five main poles, each of said main poles having n + 1 pole teeth, said stator windings being distributed on said groups and poles, said poles being divided in accordance with the relations Tau p n Tau z + Alpha i Alpha Tau z(K + 0.6) Tau p'' n Tau z + Beta i Beta Tau z(K'' + 0.6), the ratio of rotor tooth widths to stator tooth widths at the outer diameter of the rotor being equal to or smaller than unity, the number of rotor teeth Tr corresponding to the relationship Tr u(5n +4K + K'' + 3), where Tau p is the pitch of adjacent main poles, Tau z is the pitch of adjacent pole teeth, Alpha is the angle between adjacent pole teeth on adjacent poles, Tau p'' is the pitch between adjacent poles on adjacent groups, Beta is the angle between adjacent pole teeth on adjacent groups and n, K, and K'' are whole numbers equal to or greater than 0.
2. A motor as in claim 1, wherein said control means short-circuits one of said windings while energizing the others of said windings simultaneously and shifts the short-circuited winding in succession from winding to winding while simultaneously energizing the remaining ones of said windings.
3. A motor as in claim 1, wherein said control means include means for connecting said winding in a pentagonal loop.
4. A motor as in claim 2, wherein said control means include means for connecting said winding in a pentagonal loop.
5. A motor as in claim 1, wherein said control means connects the stator winding so that the main poles always exhibit alternating polarity.
6. A motor as in claim 2, wherein said control means connects the stator winding so that the main poles always exhibit alternating polarity.
7. A motor as in claim 3, wherein said control means connects the stator winding so that the main poles always exhibit alternating polarity.
8. A motor as in claim 1, wherein said control means energizes each of said windings so that two of successive ones of said windings have current flowing in the same direction while the remainder of the successive windings have currents flowing in opposite directions.
9. A motor as in claim 1, wherein said control means connects the windings so that, independent of the switching position, two adjacent main poles always have the same polarity while the others, have alternating polarities.
10. A motor as in claim 1, wherein said pole teeth have trapezoidal shapes, the ratio of tooth width to tooth gap at the outer diameter of the rotor being 1:2 and at the tooth root about 2:1.
11. A motor as in claim 3, wherein said pole teeth have trapezoidal shapes, the ratio of tooth width to tooth gap at the outer diameter of the rotor being 1:2 and at the tooth root about 2:1.
12. A motor as in claim 1, wherein each main pole has n + 1 pole teeth, the ratio of stator to rotor tooth width being 2:1.
13. A motor as in claim 3, wherein each main pole has n + 1 pole teeth, the ratio of stator to rotor tooth width being 2:1.
14. A motor as in claim 1, wherein said control means can switch the individual windings in series connection and parallel connection.
15. A motor as in claim 1, wherein Tau p Tau p .
16. A motor as in claim 3, wherein Tau p Tau p .
17. A motor as in claim 4, wherein Tau p Tau p .
18. A motor as in claim 1, wherein Alpha Beta and at least one of said main poles has tooth gaps.
19. A motor as in claim 3, wherein Alpha Beta and at least one of said main poles has tooth gaps.
20. A motor as in claim 14, wherein Alpha Beta and at least one of said main poles has tooth gaps.
Applications Claiming Priority (1)
Application Number | Priority Date | Filing Date | Title |
---|---|---|---|
DE2235086A DE2235086C3 (en) | 1972-07-18 | 1972-07-18 | Stepper motor with five stator windings |
Publications (1)
Publication Number | Publication Date |
---|---|
US3866104A true US3866104A (en) | 1975-02-11 |
Family
ID=5850879
Family Applications (1)
Application Number | Title | Priority Date | Filing Date |
---|---|---|---|
US379223A Expired - Lifetime US3866104A (en) | 1972-07-18 | 1973-07-16 | Five phase stepping motor |
Country Status (3)
Country | Link |
---|---|
US (1) | US3866104A (en) |
CA (1) | CA996172A (en) |
DE (1) | DE2235086C3 (en) |
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US3978356A (en) * | 1973-07-26 | 1976-08-31 | Gerhard Berger Fabrikation Elektrischer Messgerate | Self-starting synchronous motor with permanent magnet rotor |
US4029977A (en) * | 1975-11-26 | 1977-06-14 | International Business Machines Corporation | Rotary stepper motor and method of operation |
US4031419A (en) * | 1974-07-31 | 1977-06-21 | Gerhard Berger, Fabrik Elektrischer Messgerate | Self-starting synchronous and stepping motor having a permanent magnet rotor |
US4039908A (en) * | 1974-05-22 | 1977-08-02 | Pont-A-Mousson S.A. | Synchronous motor having a variable reluctance |
US4081703A (en) * | 1976-05-26 | 1978-03-28 | North American Philips Corporation | Electric motor having toothed pole pieces |
US4095161A (en) * | 1975-06-13 | 1978-06-13 | Gerhard Berger Gmbh & Co. Fabrik Elektrischer Messgerate | Variable stepping-angle synchronous motor |
US4134054A (en) * | 1976-08-28 | 1979-01-09 | Mitsubishi Denki Kabushiki Kaisha | Homopolar synchronous machine |
US4151449A (en) * | 1978-01-30 | 1979-04-24 | Shuichi Takahashi | Positioning control apparatus |
US4161680A (en) * | 1976-11-02 | 1979-07-17 | Mitsubishi Denki Kabushiki Kaisha | AC rotary machine apparatus |
US4385247A (en) * | 1980-07-02 | 1983-05-24 | Oriental Motor Co., Ltd. | Four-phase hybrid type stepping motor |
JPS5895972A (en) * | 1981-12-03 | 1983-06-07 | Japan Servo Co Ltd | Stepping motor |
US4491769A (en) * | 1982-05-24 | 1985-01-01 | Heidelberg Goetz | Rotary electric machine |
US4516048A (en) * | 1983-09-29 | 1985-05-07 | The Superior Electric Company | Stator with nonuniformly spaced teeth for rotating electromagnetic device |
US4638195A (en) * | 1985-02-11 | 1987-01-20 | Lin Ted T | Multiple-pole stepping motor |
US4663577A (en) * | 1984-12-22 | 1987-05-05 | Oriental Motor Co., Ltd. | Driving circuit for multi-phase stepping motor |
US4733113A (en) * | 1987-02-05 | 1988-03-22 | The Superior Electric Company | Winding for operation of a three-phase stepping motor from a two-phase drive |
US4799002A (en) * | 1986-05-20 | 1989-01-17 | Oriental Motor Co, Ltd. | Method of driving a five-phase stepping motor |
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US5111095A (en) * | 1990-11-28 | 1992-05-05 | Magna Physics Corporation | Polyphase switched reluctance motor |
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EP0581612A1 (en) * | 1992-07-31 | 1994-02-02 | Minebea Co.,Ltd. | A multi-phase hybrid stepper motor |
GB2269484A (en) * | 1992-07-31 | 1994-02-09 | Ishikawajima Harima Heavy Ind | Hybrid stepping motor, driving method for the same and coil winding method for the same |
US5726510A (en) * | 1993-02-01 | 1998-03-10 | Minebea Co., Inc. | Method for driving stepping motor of multiphase hybrid type |
US5747898A (en) * | 1993-02-01 | 1998-05-05 | Minebea Co., Ltd. | Method for driving stepping motor of multiphase hybrid type |
US5874795A (en) * | 1995-12-28 | 1999-02-23 | Japan Servo Co., Ltd | Multi-phase permanent-magnet type electric rotating machine |
US6075302A (en) * | 1997-10-20 | 2000-06-13 | Mccleer; Patrick J. | Brushless heteropolar inductor machine |
US6124651A (en) * | 1993-02-01 | 2000-09-26 | Minebea Co., Ltd. | Method for driving stepping motor of multiphase hybrid type |
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US20130307455A1 (en) * | 2011-01-27 | 2013-11-21 | Shibaura Institute Of Technology | Stator teeth, stator, rotating electric machine, and method for controlling rotating electric machine |
CN104753286A (en) * | 2015-04-07 | 2015-07-01 | 周家军 | Magnetomotive direct-current motor construction method |
CN111049353A (en) * | 2020-01-22 | 2020-04-21 | 周育人 | Stepping motor and subdivision control method thereof |
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US3978356A (en) * | 1973-07-26 | 1976-08-31 | Gerhard Berger Fabrikation Elektrischer Messgerate | Self-starting synchronous motor with permanent magnet rotor |
US4039908A (en) * | 1974-05-22 | 1977-08-02 | Pont-A-Mousson S.A. | Synchronous motor having a variable reluctance |
US4031419A (en) * | 1974-07-31 | 1977-06-21 | Gerhard Berger, Fabrik Elektrischer Messgerate | Self-starting synchronous and stepping motor having a permanent magnet rotor |
US4095161A (en) * | 1975-06-13 | 1978-06-13 | Gerhard Berger Gmbh & Co. Fabrik Elektrischer Messgerate | Variable stepping-angle synchronous motor |
US4029977A (en) * | 1975-11-26 | 1977-06-14 | International Business Machines Corporation | Rotary stepper motor and method of operation |
US4081703A (en) * | 1976-05-26 | 1978-03-28 | North American Philips Corporation | Electric motor having toothed pole pieces |
US4134054A (en) * | 1976-08-28 | 1979-01-09 | Mitsubishi Denki Kabushiki Kaisha | Homopolar synchronous machine |
US4161680A (en) * | 1976-11-02 | 1979-07-17 | Mitsubishi Denki Kabushiki Kaisha | AC rotary machine apparatus |
US4151449A (en) * | 1978-01-30 | 1979-04-24 | Shuichi Takahashi | Positioning control apparatus |
US4385247A (en) * | 1980-07-02 | 1983-05-24 | Oriental Motor Co., Ltd. | Four-phase hybrid type stepping motor |
JPS5895972A (en) * | 1981-12-03 | 1983-06-07 | Japan Servo Co Ltd | Stepping motor |
JPH0136339B2 (en) * | 1981-12-03 | 1989-07-31 | Japan Servo | |
US4491769A (en) * | 1982-05-24 | 1985-01-01 | Heidelberg Goetz | Rotary electric machine |
US4516048A (en) * | 1983-09-29 | 1985-05-07 | The Superior Electric Company | Stator with nonuniformly spaced teeth for rotating electromagnetic device |
US4663577A (en) * | 1984-12-22 | 1987-05-05 | Oriental Motor Co., Ltd. | Driving circuit for multi-phase stepping motor |
US4638195A (en) * | 1985-02-11 | 1987-01-20 | Lin Ted T | Multiple-pole stepping motor |
US4799002A (en) * | 1986-05-20 | 1989-01-17 | Oriental Motor Co, Ltd. | Method of driving a five-phase stepping motor |
US4733113A (en) * | 1987-02-05 | 1988-03-22 | The Superior Electric Company | Winding for operation of a three-phase stepping motor from a two-phase drive |
US4883999A (en) * | 1988-08-15 | 1989-11-28 | Pacific Scientific Company | Polyphase electronically commutated reluctance motor |
US4952859A (en) * | 1988-11-30 | 1990-08-28 | Canon Kabushiki Kaisha | Stepping motor |
US4933584A (en) * | 1988-12-22 | 1990-06-12 | General Electric Company | Electronically commutated motor having skewed magnetics |
US4942345A (en) * | 1989-02-14 | 1990-07-17 | Emerson Electric Co. | Pole changing switched reluctance motor and method |
US4910475A (en) * | 1989-03-28 | 1990-03-20 | Linex Technology Corporation | Pole grouping for stepping motor |
US5111095A (en) * | 1990-11-28 | 1992-05-05 | Magna Physics Corporation | Polyphase switched reluctance motor |
WO1992010022A1 (en) * | 1990-11-28 | 1992-06-11 | Tridelta Industries Inc. | Polyphase switched reluctance motor |
US5272401A (en) * | 1991-06-18 | 1993-12-21 | Lin Ted T | Stepping motor design |
US5128570A (en) * | 1991-06-24 | 1992-07-07 | Japan Servo Co., Ltd. | Permanent magnet type stepping motor |
GB2269484A (en) * | 1992-07-31 | 1994-02-09 | Ishikawajima Harima Heavy Ind | Hybrid stepping motor, driving method for the same and coil winding method for the same |
EP0581612A1 (en) * | 1992-07-31 | 1994-02-02 | Minebea Co.,Ltd. | A multi-phase hybrid stepper motor |
US5374865A (en) * | 1992-07-31 | 1994-12-20 | Minebea Co., Ltd. | Multi-phase hybrid stepper motor |
US5444316A (en) * | 1992-07-31 | 1995-08-22 | Ishikawajima Harima Heavy Industries Co., Ltd. | Hybrid stepping motor, driving method for the same and coil winding method for the same |
GB2269484B (en) * | 1992-07-31 | 1996-01-03 | Ishikawajima Harima Heavy Ind | Hybrid stepping motor,driving method for the same and coil winding method for the same |
CN1036039C (en) * | 1992-07-31 | 1997-10-01 | 石川岛播磨重工业株式会社 | Hybrid stepping motor, driving method for the same and coil vinding method for the same |
US5747898A (en) * | 1993-02-01 | 1998-05-05 | Minebea Co., Ltd. | Method for driving stepping motor of multiphase hybrid type |
US6124651A (en) * | 1993-02-01 | 2000-09-26 | Minebea Co., Ltd. | Method for driving stepping motor of multiphase hybrid type |
US5726510A (en) * | 1993-02-01 | 1998-03-10 | Minebea Co., Inc. | Method for driving stepping motor of multiphase hybrid type |
US5874795A (en) * | 1995-12-28 | 1999-02-23 | Japan Servo Co., Ltd | Multi-phase permanent-magnet type electric rotating machine |
US6075302A (en) * | 1997-10-20 | 2000-06-13 | Mccleer; Patrick J. | Brushless heteropolar inductor machine |
US6407527B1 (en) * | 1999-08-17 | 2002-06-18 | Canon Kabushiki Kaisha | Motor drive control apparatus |
US6624538B2 (en) | 2000-03-30 | 2003-09-23 | Delaware Capital Formation, Inc. | Variable reluctance motor with improved tooth geometry |
US20030038556A1 (en) * | 2000-03-30 | 2003-02-27 | Gieskes Koenraad Alexander | Variable reluctance motor |
US6903476B2 (en) * | 2001-07-24 | 2005-06-07 | Japan Servo Co., Ltd. | Permanent magnet type three-phase stepping motor |
US20050194846A1 (en) * | 2001-07-24 | 2005-09-08 | Japan Servo Co., Ltd. | Permanent magnet type three-phase stepping motor |
US7145278B2 (en) | 2001-07-24 | 2006-12-05 | Japan Servo Co., Ltd. | Permanent magnet type three-phase stepping motor |
US20030052552A1 (en) * | 2001-07-24 | 2003-03-20 | Japan Servo Co. Ltd. | Permanent magnet type three-phase stepping motor |
US20060071562A1 (en) * | 2004-10-05 | 2006-04-06 | Japan Servo Co., Ltd. | Hybrid type double three-phase electric rotating machine |
US7342330B2 (en) * | 2004-10-05 | 2008-03-11 | Japan Servo Co., Ltd. | Hybrid type double three-phase electric rotating machine |
US20060100330A1 (en) * | 2004-11-10 | 2006-05-11 | Natarajan Kavilipalayam M | Composition for use in forming an article |
US20120319526A1 (en) * | 2009-12-08 | 2012-12-20 | Roland Hagenlocher | Electric machine |
US9590480B2 (en) * | 2009-12-08 | 2017-03-07 | L-3 Communications Magnet-Motor Gmbh | Electric machine with different stator pole spacings |
US9287745B2 (en) * | 2011-01-27 | 2016-03-15 | Shibaura Institute Of Technology | Stator teeth, stator, rotating electric machine, and method for controlling rotating electric machine |
US20130307455A1 (en) * | 2011-01-27 | 2013-11-21 | Shibaura Institute Of Technology | Stator teeth, stator, rotating electric machine, and method for controlling rotating electric machine |
WO2012105849A1 (en) * | 2011-02-03 | 2012-08-09 | Eltorque As | Three phased balanced or unbalanced asymmetric reluctance motor |
US11159079B2 (en) | 2011-02-03 | 2021-10-26 | Eltorque As | Three phased balanced or unbalanced asymmetric reluctance motor |
CN104753286A (en) * | 2015-04-07 | 2015-07-01 | 周家军 | Magnetomotive direct-current motor construction method |
CN111049353A (en) * | 2020-01-22 | 2020-04-21 | 周育人 | Stepping motor and subdivision control method thereof |
CN111049353B (en) * | 2020-01-22 | 2022-12-30 | 周育人 | Stepping motor and subdivision control method thereof |
Also Published As
Publication number | Publication date |
---|---|
CA996172A (en) | 1976-08-31 |
DE2235086C3 (en) | 1979-01-18 |
DE2235086A1 (en) | 1974-02-28 |
DE2235086B2 (en) | 1978-05-18 |
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